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Simplifying 7(4a + 3) = 28 + 6a Reorder the terms: 7(3 + 4a) = 28 + 6a (3 * 7 + 4a * 7) = 28 + 6a (21 + 28a) = 28 + 6a Solving 21 + 28a = 28 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 21 + 28a + -6a = 28 + 6a + -6a Combine like terms: 28a + -6a = 22a 21 + 22a = 28 + 6a + -6a Combine like terms: 6a + -6a = 0 21 + 22a = 28 + 0 21 + 22a = 28 Add '-21' to each side of the equation. 21 + -21 + 22a = 28 + -21 Combine like terms: 21 + -21 = 0 0 + 22a = 28 + -21 22a = 28 + -21 Combine like terms: 28 + -21 = 7 22a = 7 Divide each side by '22'. a = 0.3181818182 Simplifying a = 0.3181818182
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